We prove three facts about intrinsic geometry of surfaces in a normed (Minkowski ) space. When put together, these facts demonstrate a rather intriguing picture. Submission history. From: Sergei Ivanov [view email] [v1] Thu, 5 May 54 UTC (10 KB) [v2] Mon, 6 Jun UTC (11 KB). Submission history. From: Sergei Ivanov [view email] [v1] Mon, 8 Oct 52 UTC (15 KB) [v2] Sun, 23 Jun UTC (16 KB).
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 Conjugation-invariant norms on groups of geometric origin
This paper is a continuation of our paper about boundary rigidity and filling minimality of metrics close to flat ones. We show that compact regions close to a hyperbolic one are boundary distance rigid and strict minimal fillings. We also provide a more invariant view on the approach used in the above-mentioned paper. Permanent link to this document https: Zentralblatt MATH identifier Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc.
Burago, Dmitri; Ivanov, Sergei.
Area minimizers and boundary rigidity of almost hyperbolic metrics. More by Dmitri Burago Search this author in: Google Scholar Project Euclid.
More by Sergei Ivanov Search this author in: Read more about accessing full-text Buy article. Abstract Article info and citation First page References Abstract This paper is a continuation of our paper about boundary rigidity and filling minimality of metrics close to flat ones.
Article information Source Duke Math.
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